NEW TECHNIQUE IN SEMI-ANALYTIC METHOD FOR SOLVING NON-LINEAR DIFFERENTIAL EQUATIONS

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GELAYERI A.; RABBANI M.

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:4 Page(s): 397-406

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Information Journal Paper

Title

NEW TECHNIQUE IN SEMI-ANALYTIC METHOD FOR SOLVING NON-LINEAR DIFFERENTIAL EQUATIONS

Author(s)

GELAYERI A. | RABBANI M. | Issue Writer Certificate

Keywords

DIFFERENTIAL EQUATIONS

NON-LINEAR

SEMI-ANALYTIC

HOMOTOPY

PERTURBATION

GALERKIN METHOD

Abstract

In this paper, we introduce a new technique in SEMI-ANALYTIC method for solving NON-LINEAR DIFFERENTIAL EQUATIONS. At first, a NON-LINEAR differential equation will be converted to a linear differential equation (or some of them) by using HOMOTOPY method. Then, for finding parameter a in the linear differential equation we use GALERKIN METHOD, which is easier and less computations in comparison with similar methods, such as [5, 7]. Then, we will solve linear differential equation by using analytic method where it's evident that analytic method is better than the vibrational iteration method in [1, 3]. Also in [7] PERTURBATION techniques are depend on small parameter but the above mentioned method is not depend on small parameter. The obtained results are shown the high accuracy.

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APA: Copy

GELAYERI, A., & RABBANI, M.. (2011). NEW TECHNIQUE IN SEMI-ANALYTIC METHOD FOR SOLVING NON-LINEAR DIFFERENTIAL EQUATIONS. MATHEMATICAL SCIENCES, 5(4), 397-406. SID. https://sid.ir/paper/322564/en

Vancouver: Copy

GELAYERI A., RABBANI M.. NEW TECHNIQUE IN SEMI-ANALYTIC METHOD FOR SOLVING NON-LINEAR DIFFERENTIAL EQUATIONS. MATHEMATICAL SCIENCES[Internet]. 2011;5(4):397-406. Available from: https://sid.ir/paper/322564/en

IEEE: Copy

A. GELAYERI, and M. RABBANI, “NEW TECHNIQUE IN SEMI-ANALYTIC METHOD FOR SOLVING NON-LINEAR DIFFERENTIAL EQUATIONS,” MATHEMATICAL SCIENCES, vol. 5, no. 4, pp. 397–406, 2011, [Online]. Available: https://sid.ir/paper/322564/en

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